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Finding the Fourth Proportional to 6,319.25, 9,485.28 and 5,698.73

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Solution

The fourth proportional to 6,319.25, 9,485.28 and 5,698.73 is: 8,553.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.25 : 9,485.28 = 5,698.73 : x
  2. Step 2: Convert to fraction form
    6,319.25/9,485.28 = 5,698.73/x
  3. Step 3: Cross multiply
    6,319.25x = 9,485.28 × 5,698.73
  4. Step 4: Simplify right side
    6,319.25x = 54,054,049.69
  5. Step 5: Solve for x
    x = 54,054,049.69/6,319.25
  6. Step 6: Final answer
    x = 8,553.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.